Parallelograms
1.
2.
3.
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5.
6.
Quadrilateral with 2 pairs of parallel sides
2 pairs of opposite sides congruent
2 pairs of opposite angles congruent
Diagonals bisect each other
Same side supplementary angles
*1 pair of opposite sides BOTH parallel and congruent.
3 types of Parallelograms
1. Rectangle
 2. Rhombus
 3. Square

Rectangle
Definition: a parallelogram with 4 right
angles and congruent diagonals.
 Has all the characteristics of a
parallelogram PLUS 2 extras.
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Rhombus
Definition: a parallelogram with all sides
congruent, perpendicular anglebisecting diagonals.
 Has all the characteristics of a
parallelogram PLUS 3 extras.

Square
Definition: a parallelogram with all the
characteristics of rectangles and
rhombuses.
 Has all the characteristics of a
parallelogram PLUS 5 extras.
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TIME FOR SOME…..

Confusion!!!!
Every rectangle is a…

parallelogram
Every rhombus is a…

parallelogram
Every square is a…
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parallelogram, rhombus, rectangle

This guy’s the “head honcho”! He’s
kind of like you are…involved in
everything 
Time to…
Take a minute to look over your
characteristics and your foldable.
 Close your notebook and hide your
foldable.
 Eyes on me!

True/False
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1. Every rectangle is a parallelogram.
FALSE!
2. Every square is a rectangle.
TRUE!
3. Every rhombus is a square.
FALSE!
4. Every square is a rhombus.
TRUE!
True/False continued…
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5. Every rhombus is a parallelogram.
TRUE!
6. Every rectangle is a rhombus.
FALSE!
7. Every square is a parallelogram.
TRUE!
8. Every parallelogram is a rectangle.
FALSE!
:)

Having Fun Yet? Here’s some more
challenging brain teasers…
Which parallelograms have…

1. Diagonals congruent?

Rectangle (it’s under the tab) and square (it has
rectangle’s properties)
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2. Diagonals perpendicular?

Rhombus (it’s under the tab) and square (it has
rhombus’s properties)
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3. Diagonals that bisect each other?

Rectangle, rhombus, and square (it’s under the
parallelogram tab, so they all have it!)
Which parallelograms have…

4. All right angles?

Rectangle (it’s under the tab) and square (it has
rectangle’s properties)
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5. All sides congruent?

Rhombus (it’s under the tab) and square (it has
rectangle’s properties)
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6. Same side supplements?

Rectangle, rhombus, and square (it’s under the
parallelogram tab, so they all have it!)
Let’s talk diagonals!
Rhombus
Rectangle
Square
Bisect each
other (pgram)
Bisect each
other (pgram)
Bisect each
other (pgram)
Perpendicular
(flap)
Congruent (flap)
Perpendicular
(rhombus flap)
Angle bisectors
(flap)
Angle bisectors
(rhombus flap)
Congruent
(rectangle flap)
Joke time!
What do you call / ABC after a car
accident?
 Drum roll please….
…
…
…
 A RECTANGLE!
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